 Previous Article
 DCDSB Home
 This Issue

Next Article
The longtime evolution of mean field magnetohydrodynamics
An epidemiology model that includes a leaky vaccine with a general waning function
1.  Department of Mathematics and Statistics, University of Victoria, Victoria B.C., Canada V8W 3P4, Canada, Canada 
2.  Department of Mathematics, Pomona College, Claremont, CA 917116348, United States 
3.  Programa de Matemáticas Aplicadas y Computación, Instituto Mexicano del Petróleo, Eje Central Lázaro Cárdenas 152, San Bartolo Atepehuacan, D.F. 07730, Mexico 
[1] 
Xiaomei Feng, Zhidong Teng, Kai Wang, Fengqin Zhang. Backward bifurcation and global stability in an epidemic model with treatment and vaccination. Discrete and Continuous Dynamical Systems  B, 2014, 19 (4) : 9991025. doi: 10.3934/dcdsb.2014.19.999 
[2] 
Linda J. S. Allen, P. van den Driessche. Stochastic epidemic models with a backward bifurcation. Mathematical Biosciences & Engineering, 2006, 3 (3) : 445458. doi: 10.3934/mbe.2006.3.445 
[3] 
Benjamin H. Singer, Denise E. Kirschner. Influence of backward bifurcation on interpretation of $R_0$ in a model of epidemic tuberculosis with reinfection. Mathematical Biosciences & Engineering, 2004, 1 (1) : 8193. doi: 10.3934/mbe.2004.1.81 
[4] 
Muntaser Safan, Klaus Dietz. On the eradicability of infections with partially protective vaccination in models with backward bifurcation. Mathematical Biosciences & Engineering, 2009, 6 (2) : 395407. doi: 10.3934/mbe.2009.6.395 
[5] 
Tomás Caraballo, Renato Colucci, Luca Guerrini. Bifurcation scenarios in an ordinary differential equation with constant and distributed delay: A case study. Discrete and Continuous Dynamical Systems  B, 2019, 24 (6) : 26392655. doi: 10.3934/dcdsb.2018268 
[6] 
Qianqian Cui, Zhipeng Qiu, Ling Ding. An SIR epidemic model with vaccination in a patchy environment. Mathematical Biosciences & Engineering, 2017, 14 (5&6) : 11411157. doi: 10.3934/mbe.2017059 
[7] 
Urszula Foryś, Jan Poleszczuk. A delaydifferential equation model of HIV related cancerimmune system dynamics. Mathematical Biosciences & Engineering, 2011, 8 (2) : 627641. doi: 10.3934/mbe.2011.8.627 
[8] 
Siyang Cai, Yongmei Cai, Xuerong Mao. A stochastic differential equation SIS epidemic model with regime switching. Discrete and Continuous Dynamical Systems  B, 2021, 26 (9) : 48874905. doi: 10.3934/dcdsb.2020317 
[9] 
Shujing Gao, Dehui Xie, Lansun Chen. Pulse vaccination strategy in a delayed sir epidemic model with vertical transmission. Discrete and Continuous Dynamical Systems  B, 2007, 7 (1) : 7786. doi: 10.3934/dcdsb.2007.7.77 
[10] 
Geni Gupur, XueZhi Li. Global stability of an agestructured SIRS epidemic model with vaccination. Discrete and Continuous Dynamical Systems  B, 2004, 4 (3) : 643652. doi: 10.3934/dcdsb.2004.4.643 
[11] 
Aili Wang, Yanni Xiao, Robert A. Cheke. Global dynamics of a piecewise epidemic model with switching vaccination strategy. Discrete and Continuous Dynamical Systems  B, 2014, 19 (9) : 29152940. doi: 10.3934/dcdsb.2014.19.2915 
[12] 
Bing Zeng, Pei Yu. A hierarchical parametric analysis on Hopf bifurcation of an epidemic model. Discrete and Continuous Dynamical Systems  S, 2022 doi: 10.3934/dcdss.2022069 
[13] 
Sumei Li, Yicang Zhou. Backward bifurcation of an HTLVI model with immune response. Discrete and Continuous Dynamical Systems  B, 2016, 21 (3) : 863881. doi: 10.3934/dcdsb.2016.21.863 
[14] 
Zhigui Lin, Yinan Zhao, Peng Zhou. The infected frontier in an SEIR epidemic model with infinite delay. Discrete and Continuous Dynamical Systems  B, 2013, 18 (9) : 23552376. doi: 10.3934/dcdsb.2013.18.2355 
[15] 
Ying Hu, Shanjian Tang. Switching game of backward stochastic differential equations and associated system of obliquely reflected backward stochastic differential equations. Discrete and Continuous Dynamical Systems, 2015, 35 (11) : 54475465. doi: 10.3934/dcds.2015.35.5447 
[16] 
Xin Zhao, Tao Feng, Liang Wang, Zhipeng Qiu. Threshold dynamics and sensitivity analysis of a stochastic semiMarkov switched SIRS epidemic model with nonlinear incidence and vaccination. Discrete and Continuous Dynamical Systems  B, 2021, 26 (12) : 61316154. doi: 10.3934/dcdsb.2021010 
[17] 
Xiao Wang, Zhaohui Yang, Xiongwei Liu. Periodic and almost periodic oscillations in a delay differential equation system with timevarying coefficients. Discrete and Continuous Dynamical Systems, 2017, 37 (12) : 61236138. doi: 10.3934/dcds.2017263 
[18] 
Eugen Stumpf. On a delay differential equation arising from a carfollowing model: Wavefront solutions with constantspeed and their stability. Discrete and Continuous Dynamical Systems  B, 2017, 22 (9) : 33173340. doi: 10.3934/dcdsb.2017139 
[19] 
Radosław Kurek, Paweł Lubowiecki, Henryk Żołądek. The HessAppelrot system. Ⅲ. Splitting of separatrices and chaos. Discrete and Continuous Dynamical Systems, 2018, 38 (4) : 19551981. doi: 10.3934/dcds.2018079 
[20] 
Eugenii Shustin. Exponential decay of oscillations in a multidimensional delay differential system. Conference Publications, 2003, 2003 (Special) : 809816. doi: 10.3934/proc.2003.2003.809 
2020 Impact Factor: 1.327
Tools
Metrics
Other articles
by authors
[Back to Top]